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Finding the Fourth Proportional to 539,787, 809,680.50 and 165,810

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Solution

The fourth proportional to 539,787, 809,680.50 and 165,810 is: 248,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,787 : 809,680.50 = 165,810 : x
  2. Step 2: Convert to fraction form
    539,787/809,680.50 = 165,810/x
  3. Step 3: Cross multiply
    539,787x = 809,680.50 × 165,810
  4. Step 4: Simplify right side
    539,787x = 134,253,123,705
  5. Step 5: Solve for x
    x = 134,253,123,705/539,787
  6. Step 6: Final answer
    x = 248,715

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.